GCF of 5469/798, 6601/6797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5469/798, 6601/6797 i.e 1/774858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5469/798, 6601/6797.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5469/798,6601/6797?
Given fractions are 5469/798,6601/6797
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5469/798,6601/6797, numerators are 5469,6601
Denominators are 798,6797
The GCF of 5469,6601 is 1 .
LCM of 798,6797 is 774858.
The greatest common factor of 5469/798,6601/6797 = [GCF of 5469,6601]/[LCM of 798,6797]= 1/774858
Therefore, the GCF of 5469/798,6601/6797 is 1/774858.
To find the highest common factor of 5469,6601, we have to find the factors of both numbers and list the highest common factor.
The factors of 5469 are 1, 3, 1823, 5469
The factors of 6601 are 1, 7, 23, 41, 161, 287, 943, 6601
The HCF of 5469,6601 is 1.
Lets's calculate GCF of 5469,6601
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5469,6601 By Matching Biggest Common Factor Method
Now, list down the factors of 5469
:1,3,1823,5469
Now, list down the factors of 6601
:1,7,23,41,161,287,943,6601
Greatest Common Factor
We found the factors 5469,6601 . The biggest common factor number is the GCF number.
So the greatest common factor 5469,6601 is 1.
Lets's calculate LCM of 798,6797
| 7 | 798, 6797 |
| 114, 971 |
∴ So the LCM of the given numbers is 7 x 114 x 971 = 774858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/774858
Therefore, the GCF of Fractions 5469/798,6601/6797 is 1/774858
Least Common Multiple of 798,6797 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 798,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,6797) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(798,6797) x common factors =7 x 1 = 7
LCM(798,6797) = ( 798 × 6797 ) / 7
LCM(798,6797) = 5424006 / 7
LCM(798,6797) = 774858
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FAQs on GCF of Fractions of 5469/798, 6601/6797
1. What is the HCF of 5469,6601?
The HCF of 5469,6601 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5469/798, 6601/6797?
Answer: GCF of Numerators as per given numbers 5469/798, 6601/6797 is
GCF of Numerators i.e. for 5469,6601 is 1
LCM of denominators i.e. for 798,6797 is 774858.
Thus, GCF of Fractions is 1/774858.Finally, GCF of Fractions for 5469/798, 6601/6797 is 1/774858.